The coronavirus pandemic has significantly impacted all aspects of humankind's life. One of the major negative observations, based on the preliminary data, is the seriously decreased number of organ transplants. Due to chronic immunosuppressive treatment and other medical comorbidities organ transplantation recipients are at very high risk because of the COVID-19 virus. kidney transplantation naturally lies in a risky environment with high rates of complication and mortality. During the coronavirus pandemic, the risk attributable to COVID-19 infectious is incredibly increased and brings out a more uncertain environment. In such high uncertainty, some very critical questions regarding decision making to allocate a patient for transplant, or put into the wait-listed patient. In this chapter, it is considered a spherical fuzzy structure to evaluate the uncertainty around the kidney transplantation recipient and an allocation method in SFSs is proposed. To show the feasibility and applicability of the proposed algorithm is applied and solved a case study of renal transplantation allocation and the results are discussed in detail.